Nonexistence of the final first integral in the Zipoy-Voorhees space-time
arXiv:1302.4234 · doi:10.1103/PhysRevD.88.064003
Abstract
We show that the geodesic motion in the Zipoy-Voorhees space-time is not Liouville integrable, in that there does not exist an additional first integral meromorphic in the phase space variables.
7 pages, 1 figure; updated theory section and minor language corrections in version 3
References in corpus (5)
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- The non-integrability of the Zipoy-Voorhees metric
- Global integrability of cosmological scalar fields
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- Comment on "Nonexistence of the final first integral in the Zipoy-Voorhees space-time"
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